Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises: 21

Answer

sin, csc, cos, sec are negative values and tan and cot are positive values

Work Step by Step

1. Angle in the Quadrant III, between 180 and 270. It will have negative x and y values. r is always positive. 2. Determine the sign: $\sin\theta=\frac{y}{r}= (-)$ $\cos\theta=\frac{x}{r}= (-)$ $\tan\theta=\frac{y}{x}= (+)$ 3. Remember, the reciprocal trig function will have the same sign as the original function $\csc\theta=(-)$ $\sec\theta=(-)$ $\cot\theta=(+)$
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